Here is the challenge. Using the numbers below, can you fill in the chart so that all the rowscolumns and diagonals equal the same sum? Draw the table on a scrap piece of paper and give it a try.
1,1,1,1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4 (Remember, you can only use each number 4 times in the chart.)
Fill in the chart by replacing the X's with numbers. There is more than one solution.
Example (This example didn't work)
4
3
3
1
4
2
3
2
1
1
2
4
3
2
4
1
Solution 1
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 2
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 3
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 4
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 5
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 6
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Ashley
1
2
3
4
2
4
1
3
3
1
4
2
4
3
2
1
Mr. G - Awesome job, Ashley! Nice color choice, too.
Here is the challenge. Using the numbers below, can you fill in the chart so that all the rows columns and diagonals equal the same sum? Draw the table on a scrap piece of paper and give it a try.
1,1,1,1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4 (Remember, you can only use each number 4 times in the chart.)
Fill in the chart by replacing the X's with numbers. There is more than one solution.
Example (This example didn't work)
4
3
3
1
4
2
3
2
1
1
2
4
3
2
4
1
Solution 1
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 2
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 3
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 4
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 5
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Solution 6
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Ashley
1
2
3
4
2
4
1
3
3
1
4
2
4
3
2
1
Mr. G - Awesome job, Ashley! Nice color choice, too.
Mansi -1.
1 2 3 4
2 4 1 3
3 1 4 2
4 3 2 1
cazmere-
1234
2413
3142
4321
Mansi-
2.
3 4 1 2
4 2 3 1
1 3 2 4
2 1 4 3
3.
1441
3223
2332
4114
4.
1144
4321
3232
2413
5.
2314
4132
3241
1423
6.
1243
4312
3421
2134
Brianna
1.1342
4213
2431
3124
2.
3124
2431
4213
1342
3.
1243
4312
3421
2134
4.
1144
4321
3232
2413
5.
1441
3223
2332
4114
6.
2314
4132
3241
1423
The sum is 10
Jazi
2413
4321
1234
3142
Yuval:
1.
1234
2413
3142
4321
2.
4231
3142
1324
2413
3.
2143
4321
1234
3412
4.
1144
4321
3232
2413
5.
3412
4231
1324
2143
6.
1441
3223
2332
4114
julia
1.
4312
2134
3421
1243